10.7.5 problem 5

Internal problem ID [1253]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Chapter 3, Second order linear equations, 3.1 Homogeneous Equations with Constant Coefficients, page 144
Problem number : 5
Date solved : Monday, January 27, 2025 at 04:47:55 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} y^{\prime \prime }+5 y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 12

dsolve(diff(y(x),x$2) +5*diff(y(x),x) = 0,y(x), singsol=all)
 

\[ y = c_1 +c_2 \,{\mathrm e}^{-5 x} \]

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 19

DSolve[D[y[x],{x,2}]+5*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_2-\frac {1}{5} c_1 e^{-5 x} \]